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A class of vector fields. (English. Russian original) Zbl 0628.35078

Sib. Math. J. 27, 771-778 (1986); translation from Sib. Mat. Zh. 27, No. 5(159), 173-181 (1986).
The author studies the character and localization of singularities of vector fields describing plane (and plane with symmetry) flow of an ideal fluid.
Reviewer: B.Nowak

MSC:

35Q05 Euler-Poisson-Darboux equations
35B65 Smoothness and regularity of solutions to PDEs
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References:

[1] L. M. Milne-Thomson, Theoretical Hydrodynamics, 4th ed., Macmillan, New York (1960).
[2] L. E. Fraenkel and M. S. Berger, ?A global theory of steady vortex rings in an ideal fluid,? Acta Math.,132, No. 1, 13-51 (1974). · Zbl 0282.76014 · doi:10.1007/BF02392107
[3] R. Richtmyer, Principles of Advanced Mathematical Physics, Springer-Verlag, New York (1978). · Zbl 0402.46001
[4] F. W. Olver, ?Second-order differential equations with fractional transition points,? Trans. Am. Math. Soc.,226, 227-241 (1977). · Zbl 0355.34004 · doi:10.1090/S0002-9947-1977-0430445-7
[5] H. Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York (1953).
[6] F. W. J. Olver, Asymptotics and Special Functions, Academic Press, New York (1974). · Zbl 0303.41035
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